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Monic
Syntax
Monic(F:POLY):POLY
Monic(L:LIST of POLY):LIST of POLY
Summary
divide polynomials by their leading coefficients
Description
In the first form, this function returns F divided by its leading
coefficient (see "LC") or, if F is zero, it returns zero.
In its second form, it returns the list obtained by applying the first
form of Monic to each of the components of L.
example
Use R ::= Q[x,y];
L := [4x^5-y^2,3x-2y^4];
Monic(L);
[x^5 - 1/4y^2, y^4 - 3/2x]
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Use R ::= Z[x,y];
-- WARNING: Coeffs are not in a field
-- GBasis-related computations could fail to terminate or be wrong
-------------------------------
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L := [4x^5-y^2,3x-2y^4];
Monic(L); -- can't invert coefficients over Z
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ERROR: Cannot divide
CONTEXT: Cond(Type(X) = LIST, [Monic(A)|A IN X], IsZero(X), X, X / LC(X))
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Use R ::= Z/(5)[x,y];
F := 2x^2+4y^3;
Monic(F);
y^3 - 2x^2
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See Also